public Matrix2x3 inverse( Matrix2x3 other )
{
double invdet = 1.0 / (r1c1*r2c2 - r1c2*r2c1);
Matrix2x3 result;
result.r1c1 = r2c2 * invdet;
result.r1c2 = -r1c2 * invdet;
result.r1c3 = (r1c2*r2c3 - r1c3*r2c2) * invdet;
result.r2c1 = -r2c1 * invdet;
result.r2c2 = r1c1 * invdet;
result.r2c3 = (r1c3*r2c1 - r1c1*r2c3) * invdet;
return result;
}
public Matrix2x3 times( Matrix2x3 other )
{
/*
a b c * g h i
d e f j k l
0 0 1 0 0 1
=
ag+bj ah+bk ai+bl+c
dg+ej dh+ek di+el+f
*/
return new Matrix2x3(
r1c1*other.r1c1+r1c2*other.r2c1,
r1c1*other.r1c2+r1c2*other.r2c2,
r1c1*other.r1c3+r1c2*other.r2c3 + r1c3,
r2c1*other.r1c1+r2c2*other.r2c1,
r2c1*other.r1c2+r2c2*other.r2c2,
r2c1*other.r1c3+r2c2*other.r2c3 + r2c3
);
}
public static void push_object_transform( ClassTransformManager obj,
CompoundTransform transform)
{
if (object_transform_stack_count < TRANSFORM_STACK_SIZE)
{
CompoundTransformRow r0 = transform.property_r0;
CompoundTransformRow r1 = transform.property_r1;
object_transform_stack[object_transform_stack_count++] =
new Matrix2x3( r0.property_c0, r0.property_c1, r0.property_c2,
r1.property_c0, r1.property_c1, r1.property_c2 );
object_transform_stack_modified = true;
}
}
public static void update()
{
bool modified = false;
int camera_count = camera_transform_stack_count;
if (camera_transform_stack_modified)
{
modified = true;
camera_transform_stack_modified = false;
if (camera_count > 0)
{
int mpos = 0;
camera_transform = camera_transform_stack[0];
while (--camera_count > 0)
{
camera_transform = camera_transform.times(camera_transform_stack[++mpos]);
}
}
else
{
camera_transform = new Matrix2x3(1,0,0,0,1,0);
}
}
int object_count = object_transform_stack_count;
if (object_transform_stack_modified)
{
modified = true;
object_transform_stack_modified = false;
if (object_count > 0)
{
int mpos = object_count;
object_transform = object_transform_stack[--mpos];
while (--object_count > 0)
{
object_transform = object_transform.times( object_transform_stack[--mpos] );
}
}
else
{
object_transform = new Matrix2x3(1,0,0,0,1,0);
}
}
if (modified) transform = camera_transform.times( object_transform );
}
public static CompoundTransform create_from( ClassTransformManager obj,
CompoundVector2 size, CompoundVector2 handle,
CompoundRadians angle, CompoundVector2 scale,
CompoundVector2 position,
bool hflip, bool vflip)
{
double handle_x = handle.property_x;
double handle_y = handle.property_y;
double size_x = size.property_x;
double size_y = size.property_y;
double scale_x = scale.property_x;
double scale_y = scale.property_y;
if (hflip || vflip)
{
handle_x -= size_x / 2.0;
handle_y -= size_y / 2.0;
}
double cost = Math.Cos(angle.property_value);
double sint = Math.Sin(angle.property_value);
double r1c1 = cost*scale_x;
double r1c2 = -sint*scale_y;
double r1c3 = position.property_x - scale_x*handle_x*cost + sint*scale_y*handle_y;
double r2c1 = sint*scale_x;
double r2c2 = cost*scale_y;
double r2c3 = position.property_y - scale_x*handle_x*sint - cost*scale_y*handle_y;
Matrix2x3 m = new Matrix2x3(r1c1,r1c2,r1c3,r2c1,r2c2,r2c3);
if (hflip || vflip)
{
if (hflip)
{
if (vflip)
{
m = m.times( new Matrix2x3(-1,0,0,0,-1,0) );
}
else
{
m = m.times( new Matrix2x3(-1,0,0,0,1,0) );
}
}
else
{
m = m.times( new Matrix2x3(1,0,0,0,-1,0) );
}
// translate by -size/2
m = m.times( new Matrix2x3(1,0,-size_x/2.0,0,1,-size_y/2.0) );
}
return new CompoundTransform(
new CompoundTransformRow(m.r1c1,m.r1c2,m.r1c3),
new CompoundTransformRow(m.r2c1,m.r2c2,m.r2c3)
);
}